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12212001002120 = 235397497680697
BaseRepresentation
bin1011000110110101001111…
…1110110101001010001000
31121020110022100100212021212
42301231103332311022020
53100040134224031440
641550041003152252
72400200524545623
oct261552376651210
947213270325255
1012212001002120
113989098221577
121452926515688
136a778213473a
143030c789cdba
151629dec62465
hexb1b53fb5288

12212001002120 has 32 divisors (see below), whose sum is σ = 27477697095000. Its totient is φ = 4884676873728.

The previous prime is 12212001002077. The next prime is 12212001002129. The reversal of 12212001002120 is 2120010021221.

It can be written as a sum of positive squares in 4 ways, for example, as 10436556680356 + 1775444321764 = 3230566^2 + 1332458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12212001002095 and 12212001002104.

It is not an unprimeable number, because it can be changed into a prime (12212001002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2250389 + ... + 5430308.

Almost surely, 212212001002120 is an apocalyptic number.

12212001002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212001002120 is an abundant number, since it is smaller than the sum of its proper divisors (15265696092880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12212001002120 is a wasteful number, since it uses less digits than its factorization.

12212001002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720457 (or 7720453 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12212001002120 its reverse (2120010021221), we get a palindrome (14332011023341).

The spelling of 12212001002120 in words is "twelve trillion, two hundred twelve billion, one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 39749 79498 158996 198745 317992 397490 794980 1589960 7680697 15361394 30722788 38403485 61445576 76806970 153613940 307227880 305300025053 610600050106 1221200100212 1526500125265 2442400200424 3053000250530 6106000501060 12212001002120